Assignment03 - City University of Hong Kong Electronic...

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HW3-1 City University of Hong Kong Electronic Engineering Semester B 2007-2008 EE3108 Engineering Analysis Assignment 3 Deadline: 5:00pm, 27 Mar 2008 (Room G6354) Please put down your name, university ID and the time-slot of your tutorials. 1. An unknown electronic device has following relationship for its voltage x and current y : 2 1 c x c y = where c 1 and c 2 are constants. The following experimental data set is collected: x 0.2 0.5 0.6 0.9 1.0 1.2 1.5 1.7 2.1 y 0.03 0.24 0.38 0.83 0.97 1.46 2.24 2.85 3.8 (a) The relationship of ( x , y ) can be linearized using a new variable pair ( X , Y ) such that β α + = X Y where and are constants. Express X , Y , and in terms of x , y, c 1 and c 2 . (b) Determine , , c 1 and c 2 for the least-squares fit. Find also the coefficient of determination R 2 . (c) Plot the data points ( x , y ) and the best-fit curve in one graph. Use circles for the data points and a solid line for the curve. Attach a hardcopy of the graph. (d) Save the Matlab script file for Part (c) as
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Assignment03 - City University of Hong Kong Electronic...

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